Traces and Sobolev extension domains

被引：9

作者：

Harjulehto, P ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 08期

关键词：

Sobolev space; Besov space; trace operator; extension operator;

D O I：

10.1090/S0002-9939-06-08228-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assume that Omega subset of R-n is a bounded domain and its boundary partial derivative Omega is m-regular, n - 1 <= m < n. We show that if there exists a bounded trace operator T : W-1,W-p(Omega). B-1- alpha(p)(partial derivative Omega), 1 < p < 8 and a = n-m/p and (1 - lambda)- Holder continuous functions are dense in W1,p(Omega), 0 <= lambda < n - m, then the domain Omega is a W-1,W-p-extension domain.

引用

页码：2373 / 2382

页数：10

共 11 条

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